(10+3+2x)10=(9+3x)9

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Solution for (10+3+2x)10=(9+3x)9 equation:


Simplifying
(10 + 3 + 2x) * 10 = (9 + 3x) * 9

Combine like terms: 10 + 3 = 13
(13 + 2x) * 10 = (9 + 3x) * 9

Reorder the terms for easier multiplication:
10(13 + 2x) = (9 + 3x) * 9
(13 * 10 + 2x * 10) = (9 + 3x) * 9
(130 + 20x) = (9 + 3x) * 9

Reorder the terms for easier multiplication:
130 + 20x = 9(9 + 3x)
130 + 20x = (9 * 9 + 3x * 9)
130 + 20x = (81 + 27x)

Solving
130 + 20x = 81 + 27x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27x' to each side of the equation.
130 + 20x + -27x = 81 + 27x + -27x

Combine like terms: 20x + -27x = -7x
130 + -7x = 81 + 27x + -27x

Combine like terms: 27x + -27x = 0
130 + -7x = 81 + 0
130 + -7x = 81

Add '-130' to each side of the equation.
130 + -130 + -7x = 81 + -130

Combine like terms: 130 + -130 = 0
0 + -7x = 81 + -130
-7x = 81 + -130

Combine like terms: 81 + -130 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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